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Finding the Fourth Proportional to 27,778.28, 38,333.86 and 15,031.42

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Solution

The fourth proportional to 27,778.28, 38,333.86 and 15,031.42 is: 20,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.28 : 38,333.86 = 15,031.42 : x
  2. Step 2: Convert to fraction form
    27,778.28/38,333.86 = 15,031.42/x
  3. Step 3: Cross multiply
    27,778.28x = 38,333.86 × 15,031.42
  4. Step 4: Simplify right side
    27,778.28x = 576,212,349.88
  5. Step 5: Solve for x
    x = 576,212,349.88/27,778.28
  6. Step 6: Final answer
    x = 20,743.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.